DLMF:21.2.E1 (Q6857)

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Language	Label	Description	Also known as
English	DLMF:21.2.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta\left(\mathbf{z}\middle|\boldsymbol{{\Omega}% }\right)=\sum_{\mathbf{n}\in{\mathbb{Z}^{g}}}e^{2\pi i\left(\frac{1}{2}\mathbf% {n}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{n}+\mathbf{n}\cdot\mathbf{z}\right)}% .}}

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DLMF:21.2.E1

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Symbols defined

Riemann theta function

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2adec

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Defining formula

{\displaystyle{\displaystyle g}}

C21.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}

C21.S1.XMD3.m1dec

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Sitelinks

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